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More Lessons for Grade 6 Math

More Lessons on Numbers

Rational & Irrational Number Games

Videos, solutions, worksheets, stories and songs to help Grade 6 students learn how to compare and order rational numbers. A rational number is any number that can be written as a fraction.

**How to compare rational numbers?**

We will learn three methods for comparing rational numbers.

- Cross-multiply and compare the products.
- Convert both fractions to fractions with a common denominator.
- Turn both fractions into decimals by dividing.

**Comparing and Ordering Rational Numbers**

This video describes three methods of comparing rational numbers to each other (“greater than” or “less than”), and how to order rational numbers from least-to-greatest or greatest-to-least.

**Cross-Multiplying Method**

- Multiply the numerator of the first fraction with denominator of the second fraction.
- Multiply the numerator of the second fraction with denominator of the first fraction.
- Check the products to see which answer is larger.

**Common Denominator Method**

- Find a common denominator for each fraction.
- Create equivalent fractions with the common denominator.
- Compare the numerators.

**Fractions to Decimals Method**

- Convert each fraction into a decimal value by dividing the numerator by the denominator.
- Compare the decimal values.

**How to Compare and Order Rational Numbers?**

**How to compare rational numbers using a number line?**

Example:

Look at the rational numbers below. Order them from least to greatest.

1/2, -5, 3.3, 0, 21/12, -5.5, 2 1/8

**Comparing and ordering rational numbers**

Example:

4 1/5, -3.6, -3 8/9, 0

**Comparing and ordering rational numbers by converting to decimals**

Examples:

3/8, 4/9, 7/12, 7/15

0.6. 0.84, 87/100, 1 7/9, 11/6, 2.5

**Ordering three rational numbers (decimal, percent, fraction) from least to greatest**

Example:

Order the following number from least to greatest

0.7, 7%, 3/4

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